Devices and methods using the hermetic transform for transmitting and receiving signals using OFDM

Abstract

Systems and methods are described using a Hermetic Transform and inverse Hermetic Transform for transmitting and receiving OFDM signal by replacing a FFT and IFFT with the Hermetic Transform and inverse Hermetic Transform. In an exemplary embodiment, an OFDM transmitter comprises a processor configured to receive a serial signal, divide the serial signal into multiple parallel signals, modulate each of the multiple parallel signals, perform an inverse Hermetic Transform on the multiple parallel signals and provide an output from the inverse Hermetic Transform to RF circuitry for transmission.

What is claimed is: 
     
       1. An OFDM transmitter including a processor configured to receive a serial signal, divide the serial signal into multiple parallel signals, modulate each of the multiple parallel signals, apply a spatial filter matrix, wherein the spatial filter matrix comprises a transmitting Hermetic Transform matrix multiply, a spatial response matrix multiply, and an inverse transmitting Hermetic Transform matrix, perform an inverse transmitting Hermetic Transform on the multiple parallel signals and provide an output from the inverse transmitting Hermetic Transform to RF circuitry for transmission. 
     
     
       2. The transmitter of  claim 1 , further comprising the processor configured to apply the spatial filter matrix to reduce interference from one or more parallel transmit beams through placement of one or more spatial nulls in a beam pattern response. 
     
     
       3. The transmitter of  claim 1 , wherein the signals are transmitted as I&Q data. 
     
     
       4. An OFDM transmitting method for transmitting signals including:
 receiving a serial signal; 
 dividing the serial signal into multiple parallel signals; 
 modulating each of the multiple parallel signals; 
 applying a spatial filter matrix, wherein the spatial filter matrix comprises a transmitting Hermetic Transform matrix multiply, a spatial response matrix multiply, and an inverse transmitting Hermetic Transform matrix 
 performing an inverse transmitting Hermetic Transform on the multiple parallel signals; and 
 providing an output from the inverse transmitting Hermetic Transform to RF circuitry for transmission. 
 
     
     
       5. The method of  claim 4 , further comprising applying the spatial filter matrix to reduce interference from one or more parallel transmit beams through placement of one or more spatial nulls in a beam pattern response. 
     
     
       6. The method of  claim 4 , wherein the signals are transmitted as I&Q data. 
     
     
       7. An OFDM receiver system including a processor configured to receive a digital RF signal, performing a beam forming operation on the received signal, the beam forming operation comprising applying a spatial filter matrix, wherein the spatial filter matrix comprises a reciprocal of a transmitting Hermetic Transform matrix multiply, a spatial response matrix multiply, and an inverse of a reciprocal of a transmitting Hermetic Transform, performing a reciprocal of a transmitting Hermetic Transform on the received signal, and providing an output in multiple paths to a demodulator. 
     
     
       8. The receiver of  claim 7 , further comprising serializing the output of the demodulators to produce a serial signal. 
     
     
       9. The receiver of  claim 7 , wherein the received digital signals are received as I&Q data. 
     
     
       10. The receiver of  claim 7 , further comprising receiving and digitizing an RF signal. 
     
     
       11. A method for an OFDM including:
 receiving a digitized signal; 
 performing a beam forming operation on the received signal using a processor, the beam forming operation comprising applying a spatial filter matrix, wherein the spatial filter matrix comprises a reciprocal of a transmitting Hermetic Transform matrix multiply, a spatial response matrix multiply, and an inverse of a reciprocal of a transmitting Hermetic Transform, 
 performing a reciprocal of a transmitting Hermetic Transform on the received signal; and 
 providing an output in multiple paths to a demodulator. 
 
     
     
       12. The method of  claim 11 , further comprising serializing the output of the demodulators to produce a serial signal. 
     
     
       13. The method of  claim 11 , wherein the received digital signals are received as I&Q data. 
     
     
       14. The method of  claim 11 , further comprising receiving and digitizing an RF signal to produce the digitized signal.